Choice leads for developing new business are randomly assigned to 50 employees who make up the direct sales team. Half of the sales team is male, and half is female. An employee can receive at most one choice lead per day. On a particular day, five choice leads are assigned.
(a) Are the events {first lead is to a male} and {second lead is to a male} dependent or independent?
(b) If the first four leads all go to men, what is the probability that the fifth lead also goes to a man?
(c) What is the probability that all five leads go to men i you know that at least four of the leads go to men? (This item is harder than most. A procedure to handle these sorts of problems is given in Chapter 11, but you can do this exercise from principles in this chapter.)